Driving will be especially difficult for high-profile vehicles, the agency warned. Westward winds of 20 to 30 mph are expected, with gusts up to 45 mph.

The winds should diminish by the afternoon, the National Weather Service said.

The National Weather Service also warned of wind chills as low as 15 below zero. The wind, combined with temperatures between 3 and 16 degrees, increase the risk of frost bite and hypothermia, the agency said.

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"If you must venture outdoors," the National Weather Service said, "make sure you wear a hat and gloves."

At least one Bergen County school district opted to delay its opening time due to the weather. Classes will start at 10 a.m. Tuesday in the Maywood School District.

"We feel that the concerns of black ice, bitter temperatures and high winds in the early morning impacting student walking and drop offs call for a later, safer start time for all," the district announced on its website. "Please be safe."